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Journal of Applied Mathematics | Vol.2012, Issue. | 2017-05-29 | Pages

New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications

Lei Wu,Zhe Sun

Abstract

Recently, Xiao et al. proposed a nonsmooth equations-based method to solve the -norm minimization problem (2011). The advantage of this method is its simplicity and lower storage. In this paper, based on new nonsmooth equations reformulation, we investigate new nonsmooth equations-based algorithms for solving -norm minimization problems. Under mild conditions, we show that the proposed algorithms are globally convergent. The preliminary numerical results demonstrate the effectiveness of the proposed algorithms.

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New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications

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Keywords

mild conditions new nonsmooth equations norm minimization problem nonsmooth equationsbased algorithms

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Lei Wu,Zhe Sun,.New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications. 2012 (),.

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